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10557603840 = 21435717192
BaseRepresentation
bin10011101010100100…
…00100000000000000
31000020202222211210110
421311102010000000
5133110221310330
64503342031320
7522425103060
oct116522040000
930222884713
1010557603840
114528546033
122067878540
13cc3390984
147222313a0
1541bd03db0
hex275484000

10557603840 has 720 divisors, whose sum is σ = 43145488512. Its totient is φ = 2151677952.

The previous prime is 10557603827. The next prime is 10557603887. The reversal of 10557603840 is 4830675501.

It is a super-2 number, since 2×105576038402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555663351 + ... + 555663369.

Almost surely, 210557603840 is an apocalyptic number.

10557603840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10557603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21572744256).

10557603840 is an abundant number, since it is smaller than the sum of its proper divisors (32587884672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10557603840 is an equidigital number, since it uses as much as digits as its factorization.

10557603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 10557603840 in words is "ten billion, five hundred fifty-seven million, six hundred three thousand, eight hundred forty".